Use the phrase "early next ___" to talk about something that's going to happen in the first half of the next week, month, day, century, or millenium:

I'm going to Germany early next week.

Analysts predict that it will be completed by early next year.

You can also use the phrases "early this ___", "late next ___", and "late last ___", and so on.

 We started dating late last year.